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Finding the Fourth Proportional to 5,618, 8,430.78 and 3,368.36

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Solution

The fourth proportional to 5,618, 8,430.78 and 3,368.36 is: 5,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618 : 8,430.78 = 3,368.36 : x
  2. Step 2: Convert to fraction form
    5,618/8,430.78 = 3,368.36/x
  3. Step 3: Cross multiply
    5,618x = 8,430.78 × 3,368.36
  4. Step 4: Simplify right side
    5,618x = 28,397,902.12
  5. Step 5: Solve for x
    x = 28,397,902.12/5,618
  6. Step 6: Final answer
    x = 5,054.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.